Triangular diprism (EntityTopic, 16)
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*The [[hypervolume]]s of a triangular diprism are given by: | *The [[hypervolume]]s of a triangular diprism are given by: | ||
<blockquote>total edge length = 24''l''<br> | <blockquote>total edge length = 24''l''<br> | ||
| - | total surface area = | + | total surface area = (15 + 2√3) {{DotHV}}<br> |
| - | surcell volume = | + | surcell volume = (3 + 2√3) {{DotHV|3}}<br> |
| - | bulk = | + | bulk = {{Over|√3|2}} {{DotHV|4}}</blockquote> |
*The [[realmic]] [[cross-section]]s (''n'') of a triangular diprism are: | *The [[realmic]] [[cross-section]]s (''n'') of a triangular diprism are: | ||
Revision as of 02:56, 18 November 2011
A triangular diprism is a special case of the prism where the base is a triangular prism. It is also a duoprism with parameters of 3 and 4.
Equations
- Variables:
l ⇒ length of each line in the triangular diprism
- The hypervolumes of a triangular diprism are given by:
total edge length = 24l
total surface area = (15 + 2√3) · l2
surcell volume = (3 + 2√3) · l3
bulk = √3∕2 · l4
- The realmic cross-sections (n) of a triangular diprism are:
[!x,!y] ⇒ cuboid with a various size
[!z,!w] ⇒ triangular prism
Net
The net of a triangular diprism is three cubes with four triangular prisms attached to the middle cube:
No image
Projection
The parallel projection of a triangular diprism is the following:
ExPar: [#img] is obsolete, use [#embed] instead
| Notable Tetrashapes | |
| Regular: | pyrochoron • aerochoron • geochoron • xylochoron • hydrochoron • cosmochoron |
| Powertopes: | triangular octagoltriate • square octagoltriate • hexagonal octagoltriate • octagonal octagoltriate |
| Circular: | glome • cubinder • duocylinder • spherinder • sphone • cylindrone • dicone • coninder |
| Torii: | tiger • torisphere • spheritorus • torinder • ditorus |
| 20. 211 Cyltrianglinder | 21. 1111 Triangular diprism | 22. 22 Dicone |
| List of tapertopes | ||
